Question: Consider the function: 4 3 given byf (,,,)=(1+ 2 , yz-w , 2sin(+ 2 )). (a) Find the quadratic approximation 2 P f of fat

Consider the function:43 given byf(,,,)=(1+2, yz-w , 2sin(+2)).

(a) Find the quadratic approximation2Pf of fat the point=(0,0,0,0).

(b) Now consider the function:32given by (,,)=(sin(), cos(221)).

We can compose the maps and to obtain a smooth function:42. Use the chain rule to computeP(), where=(0,0,0,0)

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